Trigonometric Formulas Quiz

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Questions and Answers

Qual es le formula correct pro $ ext{cos}(a + b)$?

  • $ ext{cos}(a + b) = ext{tan}(a) + ext{tan}(b)$
  • $ ext{cos}(a + b) = ext{sin}(a) ext{cos}(b) + ext{cos}(a) ext{sin}(b)$
  • $ ext{cos}(a + b) = ext{cos}(a) ext{cos}(b) + ext{sin}(a) ext{sin}(b)$
  • $ ext{cos}(a + b) = ext{cos}(a) ext{cos}(b) - ext{sin}(a) ext{sin}(b)$ (correct)

Qual es le formula correcte pro $ ext{sin}(a - b)$?

  • $ ext{sin}(a - b) = ext{tan}(a) - ext{tan}(b)$
  • $ ext{sin}(a - b) = ext{sin}(a) ext{cos}(b) + ext{cos}(a) ext{sin}(b)$
  • $ ext{sin}(a - b) = ext{cos}(a) ext{cos}(b) - ext{sin}(a) ext{sin}(b)$
  • $ ext{sin}(a - b) = ext{sin}(a) ext{cos}(b) - ext{cos}(a) ext{sin}(b)$ (correct)

Qual formula representa $ ext{tan}(a + b)$?

  • $ ext{tan}(a + b) = ext{tan}(a) ext{tan}(b)$
  • $ ext{tan}(a + b) = rac{ ext{tan}(a) - ext{tan}(b)}{1 + ext{tan}(a) ext{tan}(b)}$
  • $ ext{tan}(a + b) = rac{ ext{tan}(a) + ext{tan}(b)}{1 - ext{tan}(a) ext{tan}(b)}$ (correct)
  • $ ext{tan}(a + b) = ext{tan}(a) + ext{tan}(b)$

Qual es le expression correcte pro $ ext{cos}(a - b)$?

<p>$ ext{cos}(a - b) = ext{cos}(a) ext{cos}(b) + ext{sin}(a) ext{sin}(b)$ (D)</p> Signup and view all the answers

Qual formula representa le addition de senos?

<p>$ ext{sin}(a + b) = ext{sin}(a) ext{cos}(b) + ext{cos}(a) ext{sin}(b)$ (C)</p> Signup and view all the answers

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Study Notes

Formula del Coseno de Adition

  • cos(a + b) = cos(a) cos(b) − sin(a) sin(b)

Formula del Seno de Adition

  • sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

### Formula del Tangente de Adition

  • tan(a+b)= tan(a)+tan(b) / 1 − tan(a) tan(b)

Formula del Coseno de Subtractio

  • cos(a − b) = cos(a) cos(b) + sin(a) sin(b)

Formula del Seno de Subtractio

  • sin(a − b) = sin(a) cos(b) − cos(a) sin(b)

Formula del Tangente de Subtractio

  • tan(a−b) = tan(a)−tan(b) / 1 + tan(a) tan(b)

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